kylamctaggart123 kylamctaggart123
  • 03-09-2021
  • Mathematics
contestada

Find the inverse f(x)=6x+7

Respuesta :

jimrgrant1 jimrgrant1
  • 03-09-2021

Answer:

[tex]f^{-1}[/tex] (x) = [tex]\frac{x-7}{6}[/tex]

Step-by-step explanation:

let y = f(x) , then rearrange making x the subject

y = 6x + 7 ( subtract 7 from both sides )

y - 7 = 6x ( divide both sides by 6 )

[tex]\frac{y-7}{6}[/tex] = x

Change y back into terms of x with x = [tex]f^{-1}[/tex] (x) , then

[tex]f^{-1}[/tex] (x) = [tex]\frac{x-7}{6}[/tex]

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